Finding the Fourth Proportional to 2,642.40, 3,646.56 and 1,594.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.40 : 3,646.56 = 1,594.24 : x
2. Step 2: Convert to fraction form
   2,642.40/3,646.56 = 1,594.24/x
3. Step 3: Cross multiply
   2,642.40x = 3,646.56 × 1,594.24
4. Step 4: Simplify right side
   2,642.40x = 5,813,491.81
5. Step 5: Solve for x
   x = 5,813,491.81/2,642.40
6. Step 6: Final answer
   x = 2,200.08